editing disabled

Negri temperament has various extensions to the 11 limit.

Tuning Spectra

Spectrum of Negri Tunings by Eigenmonzos


Gencom: [2 15/14; 45/44 49/48 56/55 78/77]
Gencom map: [<1 2 2 3 4 4|, <0 -4 3 -2 -5 -3|]
Eigenmonzo
Supersecor
16/15
111.731
8/7
115.587
11/9
115.803
15/14
119.443
16/13
119.824
1\10
120.000
7/5
123.498
15/13
123.871
3\29
124.138
13/10
124.298
4/3
124.511 (7 and 9 limit minimax)
5\48
125.000
30517578125/26795786661
125.469 (7 limit least squares)
|0 63 -26 -1>
125.579 (9 limit least squares)
10/9
125.673
11337408/9765625
126.238 (5 limit least squares)
2\19
126.316
6/5
126.337 (5 limit minimax)
|0 79 -40 -5 16 2>
126.445 (13 limit least squares)
|0 34 -17 -2 7>
126.511 (11 limit least squares)
|0 73 -46 -4 20 4>
126.619 (15 limit least squares)
18/13
127.324
9/7
127.486 (11, 13 and 15 limit minimax)
5\47
127.660
14/13
128.298
3\28
128.571
5/4
128.771
11/10
129.374
11/8
129.736
7/6
133.435
15/11
134.238
13/12
138.573
14/11
139.169
13/11
144.605
12/11
150.637

Spectrum of Negril Tunings by Eigenmonzos


Gencom: [2 15/14; 49/48 65/64 91/90 875/858]
Gencom map: [<1 2 2 3 2 4|, <0 -4 3 -2 14 -3|]
Eigenmonzo
Supersecor
16/15
111.731
8/7
115.587
15/14
119.443
16/13
119.824
1\10
120.000
7/5
123.498
15/13
123.871
14/11
123.906
11/10
124.091
3\29
124.138
13/11
124.164
15/11
124.203
13/10
124.298
4/3
124.511 (7, 9, 11, 13 and 15 limit minimax)
|0 -149 8 -15 113 -23>
124.700 (15 limit least squares)
|0 -136 21 -14 98 -21>
124.764 (13 limit least squares)
|0 -125 15 -15 81>
124.854 (11 limit least squares)
11/9
124.882
12/11
124.965
5\48
125.000
11/8
125.094
30517578125/26795786661
125.469 (7 limit least squares)
|0 63 -26 -1>
125.579 (9 limit least squares)
10/9
125.673
11337408/9765625
126.238 (5 limit least squares)
2\19
126.316
6/5
126.337 (5 limit minimax)
18/13
127.324
9/7
127.486
5\47
127.660
14/13
128.298
3\28
128.571
5/4
128.771
7/6
133.435
13/12
138.573

Spectrum of Negric Tunings by Eigenmonzos


Gencom: [2 15/14; 33/32 49/48 65/64 91/90]
Gencom map: [<1 2 2 3 3 4|, <0 -4 3 -2 4 -3|]
Eigenmonzo
Supersecor
16/15
111.731
8/7
115.587
15/14
119.443
16/13
119.824
1\10
120.000
7/5
123.498
15/13
123.871
3\29
124.138
13/10
124.298
4/3
124.511 (7 and 9 limit minimax)
5\48
125.000
30517578125/26795786661
125.469 (7 limit least squares)
|0 63 -26 -1>
125.579 (9 limit least squares)
10/9
125.673
11337408/9765625
126.238 (5 limit least squares)
2\19
126.316
6/5
126.337 (5 limit minimax)
18/13
127.324
9/7
127.486
|0 106 -31 4 -38 11>
127.602 (13 limit least squares)
5\47
127.660
|0 -95 25 -5 31>
127.706 (11 limit least squares)
|0 109 -28 5 -43 13>
127.718 (15 limit least squares)
14/13
128.298
3\28
128.571
5/4
128.771
11/9
128.951 (11, 13 and 15 limit minimax)
13/11
130.113
14/11
130.415
12/11
131.170
15/11
132.610
7/6
133.435
11/8
137.829
13/12
138.573
11/10
165.004

Spectrum of Negroni Tunings by Eigenmonzos


Gencom: [2 15/14; 49/48 55/54 65/64 91/90]
Gencom map: [<1 2 2 3 5 4|, <0 -4 3 -2 -15 -3|]
Eigenmonzo
Supersecor
16/15
111.731
8/7
115.587
15/14
119.443
16/13
119.824
1\10
120.000
11/9
121.799 (11, 13 and 15 limit minimax)
12/11
122.785
11/8
123.245
7/5
123.498
15/13
123.871
15/11
124.068
13/11
124.101
3\29
124.138
11/10
124.166
|0 19 -22 -7 32>
124.180 (11 limit least squares)
|0 33 -66 -14 90 -6>
124.186 (15 limit least squares)
|0 49 -50 -15 76 -8>
124.215 (13 limit least squares)
13/10
124.298
14/11
124.424
4/3
124.511 (7 and 9 limit minimx)
5\48
125.000
30517578125/26795786661
125.469 (7 limit least squares)
|0 63 -26 -1>
125.579 (9 limit least squares)
10/9
125.673
11337408/9765625
126.238 (5 limit least squares)
6/5
126.337 (5 limit minimax)
18/13
127.324
9/7
127.486
5\47
127.660
14/13
128.298
3\28
128.571
5/4
128.771
7/6
133.435
13/12
138.573